Some Noncommutative Multi-instantons from Vortices in Curved Space

Abstract

We construct U(2) noncommutative multi-instanton solutions by extending Witten's ansatz [1] which reduces the problem of cylindrical symmetry in four dimensions to that of a set of Bogomol'nyi equations for an Abelian Higgsmodel in two dimensional curved space. Using the Fock space approach, we give explicit vortex solutions to the Bogomol'nyi equations and, from them, we present multi-instanton solutions.

10 pages. LaTeX

References in corpus (4)

• Noncommutative 't Hooft Instantons
• Comments on the U(2) Noncommutative Instanton
• Noncommutative Instantons on R^2_{NC} x R^2_C
• Non-Commutative Instantons and the Information Metric

Cited by in corpus (10)

• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• Noncommutative Instantons via Dressing and Splitting Approaches
• Noncommutative Multi-Instantons on R^{2n} x S^2
• On Noncommutative Merons and Instantons
• On Coordinate Transformations in Planar Noncommutative Theories
• Noncommutative Deformation of Instantons
• A monopole solution from noncommutative multi-instantons
• Noncommutative Deformation of Spinor Zero Mode and ADHM Construction
• Planar field theories with space-dependent noncommutativity
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons